Question

nC6 : (n-3)C3 = 33:4

Answer 1

n=11
I think it will help you

Answer 2

The value of n is equal to 11.

Step-by-step explanation:

We have,

$^nC_6: ^{(n-3)}C_3=33:4$

To find, the value of n = ?

∴ $^nC_6: ^{(n-3)}C_3=33:4$

⇒ $\dfrac{n!}{(n-6)!6!} \times \dfrac{3!(n-6)!}{(n-3)!} =\dfrac{33}{4}$

⇒ $\dfrac{n!}{720} \times \dfrac{6}{(n-3)!} =\dfrac{33}{4}$

⇒ $=n(n-1)(n-2)=990$

By spliting method,

⇒ [tex]=n(n-1)(n-2)=11(11 - 1)(11 - 2)

⇒ n = 11

The value of n = 11

Hence, the value of n is equal to 11.